document.write( "Question 182732: ONe number is 25% of another The larger number is 12 more than the smaller. What are the numbers? \n" ); document.write( "

Algebra.Com's Answer #137198 by josmiceli(19441) $\"\"$ $\"About$

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The number that is 25% of the other is the smaller.
\n" ); document.write( "Call the smaller number $\"a\"$
\n" ); document.write( "Call the larger number $\"b\"$
\n" ); document.write( "given:
\n" ); document.write( " $\"a+=+.25b\"$
\n" ); document.write( " $\"b+=+a+%2B+12\"$
\n" ); document.write( "----------------
\n" ); document.write( "By substitution:
\n" ); document.write( " $\"b+=+.25b+%2B+12\"$
\n" ); document.write( "Subtract $\".25b\"$ from both sides
\n" ); document.write( " $\".75b+=+12\"$
\n" ); document.write( " $\"b+=+16\"$
\n" ); document.write( "and
\n" ); document.write( " $\"a+=+.25b\"$
\n" ); document.write( " $\"a+=+.25%2A16\"$
\n" ); document.write( " $\"a+=+4\"$
\n" ); document.write( "The smaller number is 4 and the larger is 16
\n" ); document.write( " \n" ); document.write( "

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